1,272 Answered Questions for the topic differential equations

Differential Equations Laplace Transform

10/25/14

differential equation. laplace transform
given in series circuit L=1H, R=110ohm, C=0.001F, v=90V. Find the resultant current when the switch is originally open and it is closed for 1s. then it is open again when t=1. use laplace... more
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Differential Equations Calculus

08/10/14

find the particular solution of the differential equation f"(x)=6(x-1)
find the particular solution of the differential equation f"(x)=6(x-1) whose graph passes through the point (2,1) and is tangent to the line 3x-y-=0 at that point
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07/23/14

Solving Second order non homogeneous DE using variation of parameters?
The process I was taught in class was as follows: 1. Transform the second order non homogeneous DE into a system of first order DE. 2. Solve the homogeneous part. 3. Assume the solution to the... more
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Differential Equations Physics Linear Differential

07/06/14

Differential Equations circuit homework problem
Attached is the problem from my text book. I'm confused about what I'm actually solving and how to use what I know. I know that Current for the inductor is given by the equation di/dt = v/L and the... more
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Differential Equations

05/19/14

Can someone help me with a differential equation problem?
Suppose that an initial population of 10,000 bacteria grows exponentially at a rate of 2% per hour and that y=y(t) is the number of bacteria present t hours later. a) Find an initial-value problem... more
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04/24/14

Differentiation Rules for Exponential Functions
how do you find the second derivative of y=e-x^2
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Differential Equations Equations Functions Applications

04/12/14

Applications of Sinusoidal Functions and Their Derivatives
A differential equation is an equation involving a function and one or more of its derivatives. Determine whether the function y=πsinθ+2πcosθ is a solution to the differential equation d^2y/dθ^2 +... more
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Differential Equations

03/30/14

Find general solution of y'' + y = 3sin(2t) + tcos(2t)
Answer: c1cos(t) + c2sin(t) -1/3tcos(2t) -5/9sin(2t) Please show the work step by step.
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Differential Equations

03/30/14

Find general solution of 2y" + 3y' + y = t^2 + 3sin(t)
Answer: c1e^-t + c2e^-t/2 + t^2 +6t + 14 -3/10sin(t) - 9/10cos(t) Please show the work step by step.
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Differential Equations

03/30/14

Find general solution of y" + 2y' + y = 2e^-t
Answer: c1e^-t + c2t^-t + t^2e^-t
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Differential Equations Solving For(fg)(x)

02/08/14

consider the equation f(x)=-6-1 and g(x)=4x^2 select the solution for (fg)(x)
consider the equation f(x)=-6-1 and g(x)=4x^2 select the solution for (fg)(x)
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Differential Equations Calculus Newton's Law Of Cooling

11/24/13

Newton's Law of Cooling
after the coffee is heated to 200 degrees , it is set in a room at 50 degrees.It cools at a rate that is proportional to the difference between its current temperature and that of the surrounding... more
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Differential Equations

07/10/13

Solve the differential equation?
Solve the differential equation e^x dx+(e^x cot(y)+2y csc(y))dy=0. M=e^x N=e^x cot(y)+2y csc(y) My=0 Nx=e^x cot(y) Obviously isn't exact. What to do next?
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Differential Equations

07/06/13

Solve the differential equation?
Solve the differential equation y dx+(2xy-e^(-2y))dy=0.
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Differential Equations

07/05/13

Solve the differential equation?
Solve the differential equation dx+(x/y-sin(y))dy=0. I know that the integrating factor is y. y dx+x dy-ysin(y) dy=0 d(xy)-ysin(y) dy=0 How do I integrate this?
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Differential Equations

06/30/13

Find the value?
Consider the initial value problem: y'+(2/3)y=1-(1/2)t, y(0)=yο. Find the value of yο for which the solution touches, but does not cross, the t-axis.
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Differential Equations

06/29/13

Find the general solution?
Find the general solution of ty'-y=t^2*e^(-t), t>0.   I got y=(t^-1)(e^-t)(t^3/3+c) but when I simplify that I didn't get the right answer. Please help me with steps. 
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Differential Equations

06/20/13

Recommend me a good textbook for Differential Equations?
Name the title of the book, author, edition, ISBN number. Also, what bookstore sells used college textbooks for this? And what math should I take after Differential Equations for physics and... more
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Differential Equations

06/19/13

Solve the differential equation?
Solve the differential equation y^(4)-5y"-36y=0. r^4-5r^2-36 (r^2-9)(r^2+4) r=3, -3, 2i, -2i y=c1*e^3x+c2*e^-3x+c3(cos(2x))+c4(sin(2x)) Is that the right answer? And can someone give me some... more
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Differential Equations

06/18/13

Help me with Differential Equations?
Solve the differential equation y"+4y=0. r^2+4=0   r=2i, -2i Now what?
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Differential Equations

06/16/13

Solve the differential equation?
Solve the differential equation (2xy+y^3)dx+(x^2+3xy^2-2y)dy=0. I got x^2*y+xy^3+yx^2+xy^3-y^2=C but that's not the answer. And is Differential Equations taught after Linear Algebra? If so, then... more
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Differential Equations Calculus Maths Math Help

04/29/13

calculus question......
the position function s of a point is given by two dimensional quantities  where t in seconds and the y direction is affected by gravity (10m/s/s). y(t)=4t*sin(θ) - 5t2       &      ... more
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